Ram chose 6 different prime numbers and labeled them A, B, C, D, E and F. He then asks his friend Sam to find these numbers using the following information.
(i)F is the smallest two-digit prime number.
(ii) C - E = 1
(iii) On the number line, the distance between A and F is the same as the distance between D and F. Also A is smaller than D.
(iv)B is greater than F and less than D.
Help Sam find these prime numbers. Enter the answers for the following questions in their respective boxes and then submit.
Answers
Answer:
A= 3 or 5
B=13 if A=5 and B=13 or 17 if A=3
C=3
D= 19 if A=3 and D=17 if A=5
E=2
F=11.
Step-by-step explanation:
A= 3 or 5
B=13 if A=5 and B=13 or 17 if A=3
C=3
D= 19 if A=3 and D=17 if A=5
E=2
F=11.
Explanation:
Smallest two digit prime number is 11. Therefore f=11.
It is given that c-e=1. To satisfy this condition C and E must be consecutive prime numbers. 2&3 are the only consecutive prime numbers. Therefore C=3,E=2.
In number line the distance between A and F must be same as that of F and D. We know F=11. If A=3 then the distance is 8 units. Using this distance, D must be 19. If A=5 then the distance is 6 units. Using this distance, D must be 17.
It is given that B is between F and D and B is less than D. Therefore if A=5 and D=17 then B=13. If A=3 and D=19 then B=13 or 17.